Perturbative Algebraic Quantum Field Theory
| Autor: | Kasia Rejzner |
|---|---|
| EAN: | 9783319259017 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 16.03.2016 |
| Untertitel: | An Introduction for Mathematicians |
| Kategorie: | |
| Schlagworte: | Algebraic Quantum Field Theory Batalin-Vilkoviski Formalism Epstein-Glaser Method Gauge Theory Locally Covariant Quantum Field Theory Mathematical Foundations of Quantum Field Theory Perturbative Quantum Field Theory Qu Theory of Scalar field |
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Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn't require the use of divergent quantities and works on a large class of Lorenzian manifolds.
We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity.
pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems.
Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity.
The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.
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